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Finding the Fourth Proportional to 756.54, 1,043.55 and 523.26

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Solution

The fourth proportional to 756.54, 1,043.55 and 523.26 is: 721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.54 : 1,043.55 = 523.26 : x
  2. Step 2: Convert to fraction form
    756.54/1,043.55 = 523.26/x
  3. Step 3: Cross multiply
    756.54x = 1,043.55 × 523.26
  4. Step 4: Simplify right side
    756.54x = 546,047.97
  5. Step 5: Solve for x
    x = 546,047.97/756.54
  6. Step 6: Final answer
    x = 721.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.